This note extends the standard kernel density estimator to the case of weighted samples in several ways. In the first place I consider the obvious extension by substituting the simple sum in the definition of the estimator by a weighted sum, but I also consider other alternatives of introducing...

Este trabajo contribuye a la literatura empírica sobre la distribución del tamaño de las ciudades, articulada en torno a la ley de Zipf, utilizando la evidencia proporcionada por los municipios españoles a lo largo del siglo XX. Comienza con una serie de objeciones a la base de datos de...

In the literature there are a number of generalizations of the Gini coefficient which inherit most of its appealing properties. These families allow the incorporation of different value judgments and all of them are more sensitive to transfers among the poorest individuals in society than to...